Greatest Common Factor and Least Common Multiple Word Problems

The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?

• 14 days
• 24 days
• 34 days
• 44 days

A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller.  Which caller will be the first to win both prizes?

• 5
• 2
• 10
• 120

Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?

• 55 minutes
• 25 minutes
• 60 minutes
• 75 minutes

Henry and Margo both began traveling around a circular track. Henry is riding his bike, and Margo is walking. It takes Henry 7 minutes to make it all the way around, and Margo takes 12 minutes. How much time will pass until they meet at the starting line?

• 84 minutes
• 48 minutes
• 854 minutes
• 78 minutes

Jenny goes to  karate class every 12 days.and too the library every 18 days. On December 1st she went to both class and the library. On what date will she do both class and go to the library?

• 24 days
• 36 days
• 42 days
• 52 days

Melanie and Martin are both building a toy train track out of connecting pieces. Melanie has pieces that are 8 inches long while Martin's pieces are 20 inches long.  How long will the shortest track be that they can each build with the same length?

• 2
• 40
• 4
• 20

Is this question asking to find GCF or LCM?

• GCF
• LCM

Is this question asking to find GCF or LCM?

• GCF
• LCM

Lisa is making activity baskets to donate to charity.  She has 12 coloring books, 28 markers, and 36 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?

• Greatest Common Factor
• Least Common Multiple

At Kentucky Fried Chicken, the kitchen staff baked 96 chicken legs, 144 thighs, and 224 wings. The staff had to prepare platters for a catered lunch at an office. Each platter will have the same number of legs, thighs, and wings. How many platters can the staff make if they want the greatest number of chicken pieces on each platter?

• Greatest Common Factor
• Least Common Multiple